Answer:
y = - [tex]\frac{1}{5}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 2 ← is in slope- intercept form
with slope m = 5
Given a line with slope m then the slope of the line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
The line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = - [tex]\frac{1}{5}[/tex] x + 5 ← equation of perpendicular line
Answer:
y = -x/5 + 5
Step-by-step explanation:
Equation of a line L : y=mx+b perpendicular to another line L1 through a point P(p,q)
Given :
L1 : y = 5x+2
P : P(p,q) = P(0,5)
Solution :
Slope of L1 = 5. For L to be perpendicular, product of slopes = -1 =>
m*5=-1, or m = -1/5
Since L passes through P(0,5), using the point slope form of the line L :
L : (y-5) = -(x – 0) / 5
L : y = -x/5 + 5
If carpet costs $11 a square yard including padding and installation, what would it
cost to carpet a room measuring 14ft. by 20ft? (Note: 3 feet = 1 yard)
Round to the nearest dollar.
$1386
o $374
$342
o $1027
o$3080
Answer:$342
Step-by-step explanation: First we convert to yards: which gives us 14/3 yards and 20/3 yards. We multiply these to find a combined area of 280/9 yards, which we then multiply to get 280*11/3. Simplify to get 342.22 repeating, which rounds to 342.
if f(x)=3x+2 what is f(5)?
Answer:
17
Step-by-step explanation:
f(x)=3x+2
Let x = 5
f(5)=3*5+2
Multiply first
f(5) = 15+2
Then add
= 17
Answer the question.
Answer:
[tex] \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} [/tex]
Use the tree diagram below to answer the question how many outcomes are there that contain blue shirts
Answer:
3
Step-by-step explanation:
i got it right on my test
2 + (-17) i need the correct answer and show your work
Answer:
-15
Step-by-step explanation:
2 + (-17) = (-15)
If two integers have different sign, subtract and the result will have the bigger number sign.
17 - 2 = 15 and the bigger number is 17 & sign of 17 is negative. So answer is (-15)
2 + (-17) = (-15)
If two integers have different sign, subtract and the result will have the bigger number sign.
17 - 2 = 15 and the bigger number is 17 & sign of 17 is negative. So answer is (-15)
[tex] \tt{ \verified} \: \: \: \: \red{ \checkmark}[/tex]
Please help me! That would be great if you can.
identify the precision unit for the measuring tool below
100 divided by 2
please show work
thank you
Answer:
100÷2= 50
Step-by-step explanation:
Because if we divide a 100 equally by 2 it will be 50
You roll a number cube. Find the probability and write your answer in the simplest form. P(4)= ------------------------------------------- P(not a 2) = ------------------------------------ P(3 or 5) = ------------------------------------
Answer:
[tex]P(4) = \frac{1}{6}[/tex]
[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]
[tex]P(\text{3 or 5}) = \frac{1}{3}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Number cube:
A number cube is a dice, which has six sides, numbered 1 to 6.
P(4)
One the sides is a 4, thus:
[tex]P(4) = \frac{1}{6}[/tex]
P(not a 2)
Of the 6 sides, one is a 2, and the other 5 are not 2. So
[tex]P(\text{not a 2}) = \frac{5}{6}[/tex]
P(3 or 5)
One sides is 3, other is 5, 1 + 1 = 2. So
[tex]P(\text{3 or 5}) = \frac{2}{6} = \frac{1}{3}[/tex]
Two sides of a triangle are perpendicular. If the two sides are 8cm and 6cm, calculate correct to the next degree, the smallest angle of the triangle. (A)35° (B)36° (C)37° (D)38° (E)53°
[tex]\boxed{Given:}[/tex]
Length of the perpendicular ( opposite ) = 6 cm.
Length of the base ( adjacent ) = 8 cm.
[tex]\boxed{To\:find:}[/tex]
The smallest angle of the triangle.
[tex]\boxed{Solution:}[/tex]
[tex]\sf\purple{C.\:37°}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
In a right-angled triangle, if two sides are given, the measure of the unknown angle can be known.
Since the value of opposite and adjacent sides are given, we use the tangent formula.
tan θ = [tex]\frac{opposite}{adjacent}[/tex]
✒ tan θ = [tex]\frac{6 \: cm}{8 \: cm}[/tex]
✒ θ = [tex]{tan}^{ - 1}[/tex] (0.75)
✒ θ = 36.9°
✒ θ = 37°
Now let us find the other unknown angle 'x'.
We know that,
Sum of angles of a triangle = 180°
✒ 37° + x + 90° = 180° (90° since it is a right-angled triangle)
✒ x + 127° = 180°
✒ x = 180° - 127°
✒ x = 53°
Therefore, the three angles of the triangle are 37°, 53° and 90°.
Hence, the smallest angle is 37°.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Which is the correct answer!!!
Answer:
the answer is the alphabet a
whats the anserw plz (8x+10y)+(-4x-3y) i need help!!!
Answer:
me :- mighty assassin-,-
xd
Solve for xxx in the diagram below.
What is the total Jeff has a painted
A. 180 square inches
B.40 square inches
C.100 square inches
D.90 square inches
Answer:
180 square inches
Step-by-step explanation:
let separate the figure and form two rectangles
first rectangle
length = 10 in
breadth = 9 in
let's find its area
area =l*b
=10*9
=90 in.^2
second rectangle
length = 15 in.
breadth = 6 in.
area =l*b
=15 *6
=90 in.^2
area of a whole he painted =area of first rectangle + area of second rectangle
=90 + 90 in.^2
=180 in .^2
A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal line. Determine the approximate length of cable that would be needed to reach
from the top of the pole to a point 56 feet downhill from the base of the pole. Round answer to two decimal places.
A. 72.17 feet
D. 68.24 feet
B. 76.77 feet
E. 55.79 feet
C. 63.98 feet
Help ASAP It’s a test
Answer:
The 72 feet is measured on the slope, not out from the pole horizontally. I get
top of pole is at
40 + 72 sin17°
downhill point is
72 cos 17°
from point beneath the pole
cable^2 = (40+72 sin17°)^2 + (72 cos 17°)^2
The correct answer is option b) 76.77
The length of cable that would be needed to reach from the top of the pole to the base of the poleThe 56 feet is measured on the slope, not out from the pole horizontally.
The top of the pole is at
32 + 56 sin17°
Downhill point is
56 cos17°
From a point beneath the pole
⇒ cable^2 = (32 + 56 sin17°)^2 + (56 cos17°)^2
⇒ cable^2 = 96.74 + 53.553
⇒ cable^2 = 150.29
Dividing both sides by 2
⇒ cable = 75.15 (76 approx)
Learn more about height and distance here: brainly.com/question/19528807
#SPJ2
84784+24849+748429+123456
Answer:
981,518
Step-by-step explanation:
Have a nice day :)
You remember recording bowling scores of 116, 105, 109, and 113; however, you cannot remember your score in the fifth game. You know your bowling average is 109, what did you score on the fifth game?
Answer:
the answer is 102
Step-by-step explanation:
hope this helps
Determine two pairs of polar coordinates for the point (5, -5) with 0° ≤ θ < 360°.
Answer:
you first find the radius which is given by r=√(5^2)+(-5^2)=5√2,and then you find the angle which is given by tan^-1(y÷x),that is tan^-1(-5÷5)=-45°.This angle lies between (5,-5)
so 360-45=315°.
The ordered pair will be (5√2,315°)
To obtain the second ordered pair 315°-180°=135°
(5√2,135°)
the two pairs of polar coordinates are (5√2,135°,
5√2,315°)
The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to find the value of h. Then, explain how this value translates the graph of the parent function.
Answer:
ty
Step-by-step explanation:
mtj
If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.
Answer:
[tex]p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8[/tex]
Let a=2 and b=1, find the value of 2a + 3b
Answer:
7 is a answer
Step-by-step explanation:
2a+3b
2×2+3×1
4+3
7
hope it helps....
[tex] \sf a = 2,\: b = 1[/tex]
[tex] \sf Q) \:2a + 3b = {?}[/tex]
[tex] \sf \implies 2a + 3b[/tex]
[tex] \sf \implies 2(2) + 3(1)[/tex]
[tex] \sf \implies 4 + 3[/tex]
[tex] \sf \implies 7[/tex] is the required answer.
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original lie segment?
Answer:
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Step-by-step explanation:
Here are the steps I think you probably will go through.
1. Draw a line that is longer than the segment but shorter than the width of the page.
1a. Make sure this line is at least 1/2 inch from the left hand side.
2. Use a compass to measure the length of the original segment. Never use a ruler. Rulers do not exist in pure geometry.
3. Measure out the distance on the line you just drew with the compass. One end is on the left hand edge and the other end (the pencil end) is marking the segment so it is the same length as the compass. You are done.
The key step either two or three.The steps to copy a line segment are given below:
1. Lets start with a line segment AB that we have to copy.
2. Now mark a point C. below or above AB, that will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so as the compass width is equal to length of AB.
5. Without changing the compass width, now place the compass tip on the point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, i guess steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
Which transformation is a translation?
Answer:
i don't know but o o o o right e o right e auto park
Answer:
4234324tgfgdfgdgd
Step-by-step explanation:
the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get
Factor the expression x^2+6x+8
A power company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used.
The function b(x) = {
0.15x,
x < 200
0.10 (x - 200) + 30, 2 > 200
determines
the bill.
How much is the bill for a person who uses 700 kWh in a month?
A. $100
оо
B. $80
O C. $105
O D. $95
PREVIOUS
Answer: (b)
Step-by-step explanation:
Given
Function for bill calculation is
[tex]\Rightarrow b(x)=\left \{ {{0.15x\quad \quad \quad \, \ \ \ \ x<200} \atop {0.1(x-200)+30\quad x>200}} \right.[/tex]
The consumption is 700 kWh i.e. more than 200
Therefore, bill is given by the second function i.e. [tex]0.10(x-200)+30[/tex]
Substitute 700 for x to get the bill
[tex]\Rightarrow 0.1(700-200)+30\\\Rightarrow 50+30=\$80[/tex]
Hence, option (b) is correct.
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Answer:
See below.
Step-by-step explanation:
Length * width
4 * 3 = 12 ft[tex]^2[/tex]
Answer:
24 square feet
Step-by-step explanation:
Area = area of triangle - area of rectangle
[tex]Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2[/tex]
Does this app actually work for ya'll????
Answer:
Yessssss!
Step-by-step explanation:
Answer:
yess!! look up your question before you ask it :))))
thx for the points too hehe
Find the surface area of the rectangular prism
Answer:
22mi
Step-by-step explanation:
Formula: A=2(wl+hl+hw)
h=1mi
l=5mi
w=1mi
Using the formula,
2·(1·5+1·5+1·1)=22mi
Therefore, the surface area of the rectangular prism is 22mi
Pleasee help with this question asap I’m begging y’all
==================================================
Work Shown:
[tex]y = \frac{4x+30}{x+5}\\\\y = \frac{4x+20+10}{x+5}\\\\y = \frac{(4x+20)+10}{x+5}\\\\y = \frac{4(x+5)+10}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{10}{x+5}\\\\y = 4+\frac{10}{x+5}\\\\[/tex]
Therefore, a = 10
--------------
As an alternative approach, we could work in reverse like this:
[tex]y = 4+\frac{a}{x+5}\\\\y = 4*\frac{x+5}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)}{x+5}+\frac{a}{x+5}\\\\y = \frac{4(x+5)+a}{x+5}\\\\y = \frac{4x+20+a}{x+5}\\\\[/tex]
Then notice that the 20+a must be 30, so solving 20+a = 30 leads to a = 10
--------------
As yet another alternative approach (well I suppose it's actually 2 extra approaches) we could use either polynomial long division or synthetic division. Either way, you should end up with a remainder of 10, which corresponds directly to a = 10
